EPLL

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Edges permutation of the last layer, abbrevaited EPLL, is the sub group of PLL where only the edges are permuted. EPLL is also used in many other methods, sometimes as a stand alone sub step, like in COLL but also as a sub group, for example in ELL or ZBLL.

EPLL algorithms

H Permutation

Name: H-PLL, X-PLL
Used in: EPLL, CPLL, PLL, ELL, ZBLL, ZZLL
Optimal moves: 10 HTM, 7 STM
X-PLL is H-PLL + U2.

Speedsolving Algorithms

PLL M2' U M2' U2 M2' U M2'
PLL M2' U' M2' U2' M2' U' M2' [1]
PLL R2' S2' R2 U R2' S2' R2
PLL R2' S2' R2 U' R2' S2' R2
PLL M2' U2 M2' U M2' U2 M2'
PLL M2' U2 M2' U' M2' U' M2'

Note that the last two algorithms should only be used as Post-AUF tricks, as it saves having to do a U or U' after the PLL if necessary.

Optimal Algorithms

HTM 9 R2 F2 B2 L2 D' R2 F2 B2 L2
STM 7 M2 D S2 D2 S2 D M2
QTM 12 R L U U R' L' F' B' U U F B
QSTM 12 R L U U R' L' F' B' U U F B

Z Permutation

Name: Z-PLL
Used in: EPLL, PLL, ELL, ZBLL, ZZLL
Optimal moves: 12 HTM, 7 STM

Speedsolving Algorithms

PLL (U) M' U M2' U M2' U M' U2 M2'
PLL M2' U M2' U M' U2 M2' U2 M'
PLL M2' U2 M U M2' U M2' U M
PLL R' U' R U' R U R U' R' U R U R2 U' R'
PLL S M2' S' u M2' u' M2'


Optimal Algorithms

HTM 12 R L' U2 D2 R L' D' R2 L2 U F2 B2
STM 7 M S2 M' D' M2 D S2
QTM 13 R B' R' F B R' F B' R' B R F F
QSTM 10 M S' S' M' D M' M' D' S' S'

Ua Permutation

Name: U-PLL a
Used in: EPLL, PLL, ELL, ZBLL, BLD
Optimal moves: 9 HTM, 7 STM

Speedsolving Algorithms

PLL R U R' U R' U' R2 U' R' U R' U R [2]
PLL (U2) M2' U M U2 M' U M2' [3]
PLL (U2) R U' R U R U R U' R' U' R2 [4]
PLL (U) R2 U' S' U2' S U' R2

Optimal Algorithms

HTM 9 B2 U' R L' B2 R' L U' B2
STM 7 B2 U' M U2 M' U' B2
QTM 12 R U B U' B' R' L' B' U' B U L
QSTM 10 R' F' M' F U F' M F U' R

Ub Permutation

Name: U-PLL b
Used in: EPLL, PLL, ELL, ZBLL, BLD
Optimal moves: 9 HTM, 7 STM

Speedsolving Algorithms

PLL R' U R' U' R3 U' R' U R U R2 [5]
PLL (U2) M2 U' M U2 M' U' M2 [6]
PLL (U2) R2' U R U R' U' R3 U' R' U R'
PLL (U) R2 U' S R2' S' R2 U R2'
PLL (U) R2' U R2 S R2' S' U' R2


Optimal Algorithms

HTM 9 B2' U L' R B2' L R' U B2'
STM 7 B2' U M U2' M' U B2'
QTM 12 L' U' B' U B L R B U B' U' R'
QSTM 10 L F M' F' U' F M F' U L'


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